Question

Which products result in a perfect square trinomial? Select three options,

Answer 1

Answer:

B. (xy + x)(xy + x)

C. (2x - 3)(-3+2x)

E. (4x2+24)(24+4x)

Answer 2

Answer:

Answer the three options result in a perfect square trinomial are:

(xy+x)*(xy+x)

(2x-3)*(-3+2x)

($(4x^{2} +25)*(25+4x^{2})$

Step-by-step explanation:

Notice the trinomial square

$(xy+x)*(xy+x)\\(xy*xy)+(xy*x)+(x*xy)+(x*x)\\x^{2} *y^{2} +2x^{2} y+x^{2}$

$(2x-3)*(-3+2x)\\(2x*-3)+(2x*2x)+(-3*2x)+(-3*-3)\\4x^{2} -12x+9$

$(4x^{2}+25)*(25+4x^{2} )\\ (4x^{2}*25)+(25*25)+(4x^{2}*4x^{2} )+(4x^{2} *25)\\16x^{4} +100x^{2} +625$

Notice all function has the form

$a^{2} +2*a*b +b^{2}$